Maugis-Dugdale model of elastic contact between two spheres( contact force)


Contact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertzian contact stress refers to the localized stresses that develop as two curved surfaces come in contact and deform slightly under the imposed loads. In the Maugis-Dugdale theory, the surface traction distribution is divided into two parts – one due to the Hertz contact pressure and the other from the Dugdale adhesive stress.

Related formulas


FHHertzian contact force (N)
E Young's modulus of the two spheres (Pa)
aContact radius (m)
RRadius R =(R1*R2)/(R1+R2) (m)